Methods of uplink channelization in lte

ABSTRACT

Slot-level remapping physical uplink control channels into two resource blocks, respectively located at two slots of a subframe, are generally adapted to a 3GPP LTE physical uplink. ACK/NAK resource blocks may be applied by the extended cyclic prefix, adapted to a complex 3GPP LTE physical uplink where mixed resource blocks (where the ACK/NAK and CQI channels coexist) may be applied by the normal cyclic prefix, and adapted to a complex 3GPP LTE physical uplink where mixed resource blocks (where the ACK/NAK and CQI channels coexist) may be applied by the extended cyclic prefix.

CROSS-REFERENCE TO RELATED APPLICATIONS AND PRIORITY CLAIM

This application is a continuation of U.S. Non-Provisional patent application Ser. No. 13/448,313, filed Apr. 16, 2012, entitled “METHODS OF UPLINK CHANNELIZATION IN LTE,” now U.S. Pat. No. 9,112,659, which is a continuation of U.S. Non-Provisional patent application Ser. No. 12/289,978, filed Nov. 7, 2008, entitled “METHODS OF UPLINK CHANNELIZATION IN LTE,” now U.S. Pat. No. 8,160,018, and claims priority to U.S. Provisional Patent Application Ser. No. 61/064,611 filed Mar. 14, 2008. The content of the above-identified patent documents is hereby incorporated by reference.

TECHNICAL FIELD

The present disclosure relates to a method and a circuit for physical uplink transmission for 3GPP long term evolution (LTE), and more specifically, to a method and a circuit generally adept at remapping physical uplink control channels for both of a resource block containing acknowledgement and non-acknowledgement (ACK/NAK) channel and a mixed resource block containing the ACK/NAK channels and channel quality indication (CQI) channels.

BACKGROUND

Orthogonal Frequency Division Multiplexing (OFDM) is a popular wireless communication technology for multiplexing data in the frequency domain.

The total bandwidth in an OFDM system is divided into narrowband frequency units called subcarriers. The number of subcarriers is equal to the FFT/IFFT size N used in the system. Generally, the number of subcarriers used for data transmission is less than N because some of the subcarriers at the edge of the frequency spectrum are reserved as guard subcarriers, and generally no information is transmitted on these guard subcarriers.

The 3^(rd) Generation Partnership Project Long Term Evolution (3GPP LTE) project seeks to improve the Universal Mobile Telecommunications System (UMTS) mobile phone standard to cope with future requirements. In the standards of the physical uplink of 3GPP LTE, one type of the resources used for transmitting the physical uplink control channel (PUCCH) is known as a cyclic shift (CS) for each OFDM symbol. One of important aspects of the system design is resource remapping on either a symbol, slot or subframe-level.

The following three references are exemplary of the practice(s) described:

-   -   [REF1] R1-081155, “CR to 3GPP spec 36.211 Version 8.1.0,”         RAN1#52, February 2008, Sorrento, Italy, describes the standards         of the physical channels for 3GPP, and chapter 5.4.1 therein         illustrates slot-level remapping for the acknowledgement and         non-acknowledgement (ACK/NAK) channel in the physical uplink of         3GPP LTE system.     -   [REF2] R1-080983, “Way-forward on Cyclic Shift Hopping Pattern         for PUCCH,” Panasonic, Samsung, ETRI, RAN1#52, February 2008,         Sorrento, Italy, discloses methods for remapping either a         resource block containing only ACK/NAK channel or a resource         block containing both CQI and ACK/NAK channels.     -   [REF3] R1-073564, “Selection of Orthogonal Cover and Cyclic         Shift for High Speed UL ACK Channels,” Samsung, RAN1#50, August         2007, Athens, Greece, teaches a scenario for data transmission         for high speed uplink ACL/NAK channel by using a subset of the         combination of the cyclic shift and the orthogonal cover.     -   [REF4] R1-080707, “Cell Specific CS Hopping and Slot Based CS/OC         Remapping on PUCCH,” Texas Instruments, Feb. 11-15, 2008,         Sorrento, Italy, teaches cyclic shift (CS) hopping and slot         based cyclic shift/orthogonal covering (CS/OC) remapping for         PUCCH format 0 and 1, i.e. in the context of uplink ACIC/NAK         transmissions in correspondence to downlink packets.

The methods of the slot-level resource remapping proposed, for example, in references [REF2] and [REF3] have been included in the 3GPP standards as shown in reference [REF1]. One of the shortages of transmission capacity in wireless telecommunication networks is that the contemporary remapping methods for resource blocks containing control channels are designed exclusively for either ACK/NAK resource blocks with the extended cyclic prefix or for normal cyclic prefix cases where a mixed resource block containing both of the ACK/NAK and CQI channels, but such remapping methods are not applicable for both. This shortage in transmission capacity prevents the techniques from being readily adapted to a complex 3GPP LTE physical uplink where ACK/NAK resource blocks may be applied by the extended cyclic prefix, adapted to a complex 3GPP LTE physical uplink where mixed resource blocks (where the ACK/NAK and CQI channels coexist) may be applied by the normal cyclic prefix, and adapted to a complex 3GPP LTE physical uplink where mixed resource blocks (where the ACK/NAK and CQI channels coexist) may be applied by the extended cyclic prefix.

SUMMARY

It is therefore an object of the present disclosure to provide an improved method and an improved circuit for conducting physical uplink transmission in order to overcome the above shortage which prevents the contemporary techniques from being generally adapted to a complex 3GPP LTE physical uplink. The fourth embodiment of the present disclosure has been implanted in latest 3GPP standards version TS 36.211 V8.4.0 (2008-09), published on Sep. 24, 2008.

It is another object of the present disclosure to provide a method and a circuit, with an intra-cell randomization, generally compatible with a complex 3GPP LTE physical uplink where ACK/NAK resource blocks may be applied by the extended cyclic prefix, or adapted to a complex 3GPP LTE physical uplink where mixed resource blocks (where the ACK/NAK and CQI channels coexist) may be applied by the normal cyclic prefix, or adapted to a complex 3GPP LTE physical uplink where mixed resource blocks (where the ACK/NAK and CQI channels coexist) may be applied by the extended cyclic prefix.

In the first embodiment of the present disclosure, a method for transmitting physical uplink channel signals, contemplates allocating a cyclic shift and an orthogonal cover to physical uplink control channels; and remapping the transmission resources in a slot-level in accordance with a selected remapping scheme, with the remapped resource indices within a first slot in the two slots of a subframe to which the physical uplink channel symbols are mapped are established by:

${n^{\prime}\left( n_{s} \right)} = \left\{ \begin{matrix} {{{{if}\mspace{14mu} n_{PUCCH}^{(1)}} < \frac{c \cdot N_{cs}^{(1)}}{\Delta_{shift}^{PUCCH}}},n_{PUCCH}^{(1)}} \\ {{otherwise},{\left( {n_{PUCCH}^{(1)} - \frac{c \cdot N_{cs}^{(1)}}{\Delta_{shift}^{PUCCH}}} \right){{mod}\left( \frac{c \cdot N_{sc}^{RB}}{\Delta_{shift}^{PUCCH}} \right)}}} \end{matrix} \right.$

when (n_(s)) mod 2=0, and the remapped resource indices within a second slot in the two slots of a subframe to which the physical uplink channel symbols are mapped are established by:

$\begin{matrix} {{n^{\prime}\left( n_{s} \right)} = {f\left( {n^{\prime}\left( {n_{s} - 1} \right)} \right)}} \\ {= \left\{ \begin{matrix} \begin{matrix} {{{{for}\mspace{14mu} {normal}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}\mspace{14mu} {and}\mspace{14mu} n_{PUCCH}^{(1)}} \geq \frac{c \cdot N_{cs}^{(1)}}{\Delta_{shift}^{PUCCH}}},} \\ {{\left\lbrack {{3\left( {n^{\prime}\left( {n_{s} - 1} \right)} \right)} + 1} \right\rbrack {{mod}\left( {\frac{3N_{cs}^{RB}}{\Delta_{shift}^{PUCCH}} + 1} \right)}} - 1} \end{matrix} \\ {{otherwise},{\begin{Bmatrix} {d + \left\lfloor \frac{n^{\prime}\left( {n_{s} - 1} \right)}{c} \right\rfloor +} \\ {\left\lbrack {{n^{\prime}\left( {n_{s} - 1} \right)}{mod}\; c} \right\rbrack \cdot \left( \frac{N^{\prime}}{\Delta_{shift}^{PUCCH}} \right)} \end{Bmatrix}{{mod}\left( \frac{{cN}^{\prime}}{\Delta_{shift}^{PUCCH}} \right)}}} \end{matrix} \right.} \end{matrix}$

when (n_(s)) mod 2=1, where

$d = \left\{ {\begin{matrix} {d_{1}\mspace{14mu} {for}\mspace{14mu} {normal}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \\ {d_{2}\mspace{14mu} {for}\mspace{14mu} {extended}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \end{matrix},} \right.$

d₁ and d₂ are a pair of two independent predetermined parameters, n_(PUCCH) ⁽¹⁾ is the resource index before remapping,

$c = \left\{ {\begin{matrix} {3\mspace{14mu} {for}\mspace{14mu} {normal}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \\ {2\mspace{14mu} {for}\mspace{14mu} {extended}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \end{matrix},{\Delta_{shift}^{PUCCH} \in \left\{ {\begin{matrix} {\left\{ {\lbrack 1\rbrack,2,3} \right\} \mspace{14mu} {for}\mspace{14mu} {normal}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \\ {\left\{ {2,3} \right\} \mspace{14mu} {for}\mspace{14mu} {extended}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \end{matrix},} \right.}} \right.$

δ_(shift) ^(PUCCH)ε{0, 1, . . . , Δ_(shift) ^(PUCCH)}, N_(sc) ^(RB) number of subcarriers in one resource block, and the physical uplink channel symbols are transmitted by using the remapped transmission resources. Here, d₁=2, d₂=0; d₁=2, d₂=2; or d₁=1, d₂=0.

In the second embodiment of the present disclosure, a method for transmitting physical uplink channel signals contemplates transmitting physical uplink channel signals, allocating a cyclic shift and an orthogonal cover to physical uplink control channels, and remapping the transmission resources at a slot-level in accordance with a selected remapping scheme, with the remapped resource indices within a first slot in the two slots of a subframe to which the physical uplink channel symbols are mapped are established by:

${n^{\prime}\left( n_{s} \right)} = \left\{ \begin{matrix} {{{{if}\mspace{14mu} n_{PUCCH}^{(1)}} < \frac{c \cdot N_{cs}^{(1)}}{\Delta_{shift}^{PUCCH}}},n_{PUCCH}^{(1)}} \\ {{otherwise},{\left( {n_{PUCCH}^{(1)} - \frac{c \cdot N_{cs}^{(1)}}{\Delta_{shift}^{PUCCH}}} \right){{mod}\left( \frac{c \cdot N_{sc}^{RB}}{\Delta_{shift}^{PUCCH}} \right)}}} \end{matrix} \right.$

when (n_(s)) mod 2=0, and the remapped resource indices within a second slot in the two slots of a subframe to which the physical uplink channel symbols are mapped are established by:

$\begin{matrix} {{n^{\prime}\left( n_{s} \right)} = {f\left( {n^{\prime}\left( {n_{s} - 1} \right)} \right)}} \\ {= \left\{ \begin{matrix} \begin{matrix} {{{{for}\mspace{14mu} {normal}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}\mspace{14mu} {and}\mspace{14mu} n_{PUCCH}^{(1)}} \geq \frac{c \cdot N_{cs}^{(1)}}{\Delta_{shift}^{PUCCH}}},} \\ {{\left\lbrack {{3\left( {n^{\prime}\left( {n_{s} - 1} \right)} \right)} + 1} \right\rbrack {{mod}\left( {\frac{3N_{cs}^{RB}}{\Delta_{shift}^{PUCCH}} + 1} \right)}} - 1} \end{matrix} \\ \begin{matrix} {{otherwise},{\left\lfloor \frac{h\left( {n^{\prime}\left( {n_{s} - 1} \right)} \right)}{c} \right\rfloor +}} \\ {\left\lbrack {{h\left( {n^{\prime}\left( {n_{s} - 1} \right)} \right)}{mod}\; c} \right\rbrack \cdot \left( \frac{N^{\prime}}{\Delta_{shift}^{PUCCH}} \right)} \end{matrix} \end{matrix} \right.} \end{matrix}$

when (n_(s)) mod 2=1, where

${{h\left( {n^{\prime}\left( {n_{s} - 1} \right)} \right)} = {\left( {{n^{\prime}\left( {n_{s} - 1} \right)} + d} \right){{mod}\left( \frac{{cN}^{\prime}}{\Delta_{shift}^{PUCCH}} \right)}}},{d = \left\{ {\begin{matrix} {d_{3}\mspace{14mu} {for}\mspace{14mu} {normal}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \\ {d_{4}\mspace{14mu} {for}\mspace{14mu} {extended}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \end{matrix},} \right.}$

d₃ and d₄ are a pair of two independent predetermined parameters, n_(PUCCH) ⁽¹⁾ is the resource index before remapping,

$c = \left\{ {\begin{matrix} {3\mspace{14mu} {for}\mspace{14mu} {normal}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \\ {2\mspace{14mu} {for}\mspace{14mu} {extended}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \end{matrix},{\Delta_{shift}^{PUCCH} \in \left\{ {\begin{matrix} {\left\{ {\lbrack 1\rbrack,2,3} \right\} \mspace{14mu} {for}\mspace{14mu} {normal}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \\ {\left\{ {2,3} \right\} \mspace{14mu} {for}\mspace{14mu} {extended}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \end{matrix},} \right.}} \right.$

δ_(shift) ^(PUCCH) ε{0, 1, . . . , Δ_(shift) ^(PUCCH)}, N_(sc) ^(RB) is the number of subcarriers in one resource block, and the physical uplink channel symbols are transmitted by using the remapped transmission resources. Here, d₃=1, d₄=0 or d₃=1, d₄ ⁼¹.

In the third embodiment of the present disclosure, a method for transmitting physical uplink channel signals contemplates transmitting physical uplink channel signals, allocating a cyclic shift and an orthogonal cover to physical uplink control channels, and remapping the transmission resources in a slot-level in accordance with a selected remapping scheme, with the remapped resource indices within a first slot in the two slots of a subframe to which the physical uplink channel symbols are mapped are established by:

${n^{\prime}\left( n_{s} \right)} = \left\{ \begin{matrix} {{{{if}\mspace{14mu} n_{PUCCH}^{(1)}} < \frac{c \cdot N_{cs}^{(1)}}{\Delta_{shift}^{PUCCH}}},n_{PUCCH}^{(1)}} \\ {{otherwise},{\left( {n_{PUCCH}^{(1)} - \frac{c \cdot N_{cs}^{(1)}}{\Delta_{shift}^{PUCCH}}} \right){{mod}\left( \frac{c \cdot N_{sc}^{RB}}{\Delta_{shift}^{PUCCH}} \right)}}} \end{matrix} \right.$

when (n_(s)) mod 2=0, and the remapped resource indices within a second slot in the two slots of a subframe to which the physical uplink channel symbols are mapped are established by:

$\begin{matrix} {{n^{\prime}\left( n_{s} \right)} = {f\left( {n^{\prime}\left( {n_{s} - 1} \right)} \right)}} \\ {= \left\{ \begin{matrix} \begin{matrix} {{{{for}\mspace{14mu} {normal}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}\mspace{14mu} {and}\mspace{14mu} n_{PUCCH}^{(1)}} \geq \frac{c \cdot N_{cs}^{(1)}}{\Delta_{shift}^{PUCCH}}},} \\ {{\left\lbrack {{3\left( {n^{\prime}\left( {n_{s} - 1} \right)} \right)} + 1} \right\rbrack {{mod}\left( {\frac{3N_{cs}^{RB}}{\Delta_{shift}^{PUCCH}} + 1} \right)}} - 1} \end{matrix} \\ {{otherwise},{\begin{Bmatrix} {e + \left\lfloor \frac{h\left( {n^{\prime}\left( {n_{s} - 1} \right)} \right)}{c} \right\rfloor +} \\ {\left\lbrack {{h\left( {n^{\prime}\left( {n_{s} - 1} \right)} \right)}{mod}\; c} \right\rbrack \cdot \left( \frac{N^{\prime}}{\Delta_{shift}^{PUCCH}} \right)} \end{Bmatrix}{{mod}\left( \frac{c \cdot N^{\prime}}{\Delta_{shift}^{PUCCH}} \right)}}} \end{matrix} \right.} \end{matrix}$

when (n_(s)) mod 2=1, where

${{h\left( {n^{\prime}\left( {n_{s} - 1} \right)} \right)} = {\left( {{n^{\prime}\left( {n_{s} - 1} \right)} + d} \right){{mod}\left( \frac{{cN}^{\prime}}{\Delta_{shift}^{PUCCH}} \right)}}},{d = \left\{ {{\begin{matrix} {d_{3}\mspace{14mu} {for}\mspace{14mu} {normal}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \\ {d_{4}\mspace{14mu} {for}\mspace{14mu} {extended}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}^{\prime}} \end{matrix}e} = \left\{ \begin{matrix} {e_{3}\mspace{14mu} {for}\mspace{14mu} {normal}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \\ {e_{4}\mspace{14mu} {for}\mspace{14mu} {extended}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}^{\prime}} \end{matrix} \right.} \right.}$

d₃ and d₄ are a first pair of two independent predetermined parameters, e₃ and e₄ are a second pair of two independent predetermined parameters n_(PUCCH) ⁽¹⁾ is the resource index before remapping,

$c = \left\{ {\begin{matrix} {3\mspace{14mu} {for}\mspace{14mu} {normal}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \\ {2\mspace{14mu} {for}\mspace{14mu} {extended}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \end{matrix},{\Delta_{shift}^{PUCCH} \in \left\{ {\begin{matrix} {\left\{ {\lbrack 1\rbrack,2,3} \right\} \mspace{14mu} {for}\mspace{14mu} {normal}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \\ {\left\{ {2,3} \right\} \mspace{14mu} {for}\mspace{14mu} {extended}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \end{matrix},} \right.}} \right.$

δ_(shift) ^(PUCCH)ε{0, 1, . . . , Δ_(shift) ^(PUCCH)}, N_(sc) ^(RB) is the number of subcarriers in one resource block, and the physical uplink channel symbols are transmitted by using the remapped transmission resources. Here, d₃=1, d₄=0 or d₃=1, d₄=1, and e₃=1, e₄=0 or e₃=2, e₄=2.

In the fourth embodiment of the present disclosure, a method for transmitting physical uplink channel signals comprises of allocating a cyclic shift and an orthogonal cover to physical uplink control channels, and remapping, at a slot-level, the physical uplink control channels into two resource blocks respectively located at two slots of a subframe, with the resource indices of the physical uplink control channels within a first slot in the two slots of a subframe are established by:

${n^{\prime}\left( n_{s} \right)} = \left\{ \begin{matrix} {{{{if}\mspace{14mu} n_{PUCCH}^{(1)}} < \frac{c \cdot N_{cs}^{(1)}}{\Delta_{shift}^{PUCCH}}},n_{PUCCH}^{(1)}} \\ {{otherwise},{\left( {n_{PUCCH}^{(1)} - \frac{c \cdot N_{cs}^{(1)}}{\Delta_{shift}^{PUCCH}}} \right){{mod}\left( \frac{c \cdot N_{sc}^{RB}}{\Delta_{shift}^{PUCCH}} \right)}}} \end{matrix} \right.$

when (n_(s)) mod 2=0, where n_(s) is an index of slots within a subframe, n_(PUCCH) ⁽¹⁾ is a resource index for physical uplink control channel form 1, 1a and 1b before remapping, N_(cs) ⁽¹⁾ is the number of cyclic shits used for the physical uplink control channel form 1, 1a and 1b in the resource block, N_(sc) ^(RB) is the size of the resource block in the frequency domain, and the resource indices of the physical uplink control channels within a second slot in the two slots of a subframe are remapped by:

${n^{\prime}\left( n_{s} \right)} = \left\{ \begin{matrix} {{{{for}\mspace{14mu} n_{PUCCH}^{(1)}} \geq \frac{c \cdot N_{cs}^{(1)}}{\Delta_{shift}^{PUCCH}}},{{\left\lbrack {{c\left( {n^{\prime}\left( {n_{s} - 1} \right)} \right)} + 1} \right\rbrack {{mod}\left( {\frac{{cN}_{cs}^{RB}}{\Delta_{shift}^{PUCCH}} + 1} \right)}} - 1}} \\ {{otherwise},{\left\lfloor \frac{h}{c} \right\rfloor + {\left\lbrack {h\mspace{14mu} {mod}{\mspace{11mu} \;}c} \right\rbrack \cdot \left( \frac{N^{\prime}}{\Delta_{shift}^{PUCCH}} \right)}}} \end{matrix} \right.$

when (n_(s)) mod 2=1, where

${h = {\left( {{n^{\prime}\left( {n_{s} - 1} \right)} + d} \right)\; {{mod}\left( \frac{{cN}^{\prime}}{\Delta_{shift}^{PUCCH}} \right)}}},{d = \left\{ {\begin{matrix} {2\mspace{14mu} {for}\mspace{14mu} {normal}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \\ {0\mspace{14mu} {for}\mspace{14mu} {extended}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \end{matrix},} \right.}$

and the physical uplink channel symbols are transmitted by using the remapped transmission resources.

BRIEF DESCRIPTION OF THE DRAWINGS

A more complete appreciation of the disclosure, and many of the attendant advantages thereof, will be readily apparent as the same becomes better understood by reference to the following detailed description when considered in conjunction with the accompanying drawings in which like reference symbols indicate the same or similar components, wherein:

FIG. 1 is a block diagram of a simplified example of data transmission and reception using Orthogonal Frequency Division Multiplexing (OFDM);

FIG. 2 is a block diagram of a simplified example of data transmission, data reception and signal processing stages using Orthogonal Frequency Division Multiplexing (OFDM);

FIG. 3 is an illustration showing an example of multiplexing six units of user equipment into one resource block channel quality indication signals within one slot;

FIG. 4 is a block diagram illustrating the contemporary scenario for the transmission of physical uplink acknowledgement and non-acknowledgement channels and reference signals for acknowledgement and non-acknowledgement demodulation; and

FIG. 5 is a flow chart illustrating a transmitting method of physical uplink channel signals in accordance with the embodiments of the present disclosure.

DETAILED DESCRIPTION

A simplified example of data transmission/reception using Orthogonal Frequency Division Multiplexing (OFDM) is shown in FIG. 1.

At the transmitter, the input data to be transmitted is modulated by a quadrature amplitude modulation (QAM) modulator 111. The QAM modulation symbols are serial-to-parallel converted by a serial-to-parallel convertor 113 and input to an inverse fast Fourier transform (IFFT) unit 115. At the output of IFFT unit 115, N time-domain samples are obtained. Here N refers to the sampling number of IFFT/FFT used by the OFDM system. The signal transmitted from IFFT unit 115 is parallel-to-serial converted by a parallel-to-serial convertor 117 and a cyclic prefix (CP) 119 is added to the signal sequence. The resulting sequence of samples is referred to as the OFDM symbol. Serial to parallel convertor 113 uses shift registers to convert data from serial form to parallel form. Data is loaded into the shift registers in a serial load mode, and is then shifted parallel in a shift mode with a clock signal.

At the receiver, the cyclic prefix is firstly removed at cyclic prefix remover 121 and the signal is serial-to-parallel converted by parallel-to-serial convertor 123 before feeding the converted parallel signal into fast Fourier transform (FFT) transformer 125. Output of FFT transformer 125 is parallel-to-serial converted by parallel-to-serial convertor 128 and the resulting symbols are input to QAM demodulator 129. Parallel to serial convertor 123 uses shift registers to convert data from parallel form to serial form. Data is loaded into the shift registers in a parallel load mode, and is then shifted serially in a shift mode with a clock signal.

The total bandwidth in an OFDM system is divided into narrowband frequency units called subcarriers. The number of subcarriers is equal to the FFT/IFFT size N. In general, the number of subcarriers used for data is less than N because some of the subcarriers at the edge of the frequency spectrum are reserved as guard subcarriers, and no information is transmitted on guard subcarriers.

FIG. 2 is a block diagram of a simplified example of data transmission, data reception and signal processing stages using Orthogonal Frequency Division Multiplexing (OFDM). As shown in FIG. 2, the OFDM symbols output from cyclic prefix (CP) 119 are further processed by signal processing unit_Tx 120 before being transmitted by the transmitting antennas. Similarly, the processed OFDM symbols transmitted from the transmitter are firstly processed by signal processing unit_Rx 122 before received by the receiving antennas. Signal processing unit_Tx 120 and signal processing unit_Rx 122 perform signal processing respectively for the transmitter and the receiver in accordance with certain signal processing schemes.

In the uplink of 3GPP LTE standards, one type of the resource used in the uplink control channel (PUCCH) is known as a cyclic shift (CS) for each OFDM symbol. PUCCHs are defined as channels carrying control signals in the uplink, and PUCCHs may carry control information, e.g., channel quality indication (CQI), ACK/NACK, hybrid automatic repeat requests (HARQ) and uplink scheduling requests.

The physical uplink control channel, PUCCH, carries uplink control information. All PUCCH formats use a cyclic shift (CS) of a sequence in each OFDM symbol. FIG. 3 is an illustration showing an example of multiplexing six user equipments (UEs) into one resource block containing channel quality indication (CQI) signals within one slot. In FIG. 3, the PUCCH occupies twelve subcarriers in the resource block and twelve cyclic shift resources (c₀ through c₁₁) exist in the resource block. The CQI signals include both of CQI data signals (e.g., CQI data signal 201) occupying several symbol elements (e.g., s₀) within the OFDM symbols and CQI reference signals (e.g., CQI reference signal 202) occupying several symbol elements (e.g., s₁). Six UEs (i.e., UE 1 through UE 6) are multiplexed in the resource block. Here, only six out of twelve cyclic shifts are actually used.

FIG. 4, cited from reference [REF3], shows the contemporary working assumption on the transmission block of uplink ACK/NAK channels and reference signals. Here, the position of the reference signal long block is not determined, therefore, FIG. 4 is only for illustrative purposes. ACK/NAK signals and the uplink reference signals (UL RS) for ACK/NAK demodulation are multiplexed on code channels 301 constructed by both a cyclic shift of a base sequence (e.g., Zadoff-Chu sequence) and an orthogonal cover. ACK/NAK signals and the uplink reference signals are multiplexed on code channels 301 constructed by both of a Zadoff-Chu sequence ZC(u,.tau.) and an orthogonal cover. For ACK/NAK channels, a Zadoff-Chu sequence ZC(u,.tau.) with a particular cyclic shift .tau., ZC(u,.tau.) is placed in sub-carriers and an orthogonal cover is applied to time domain long block (LB). The IFFTs transform a frequency domain representation of the input sequence to a time domain representation. The orthogonal cover may be used for both of UL RS and for PUCCH data, the actual code of the orthogonal cover is different from {w.sub.0, w.sub.1, w.sub.2, w.sub.3} which is used only for PUCCH data.

FIG. 3 shows an example of a contemporary mapping method exclusively adapted to resource blocks only containing CQI channels, and FIG. 4 shows an example of a contemporary mapping method for ACK/ANCK channels.

One important aspect of system design is resource remapping on a symbol, slot or subframe-level. The slot-level resource remapping methods have been proposed in, for example, references [REF2] and [REF3], and have been included in the current Change Request to the specification in 3GPP TS 36.211 version 8.1.0. Section 5.4.1 of that document, which includes the slot-level remapping of the ACK/ANCK channel in the uplink control PUCCH channel of LTE, is reproduced below for ease of reference:

“5.4 Physical Uplink Control Channel

. . . The physical resources used for PUCCH depends on two parameters, N_(RB) ⁽²⁾ and N_(cs) ⁽¹⁾, given by higher layers. The variable N_(RB) ⁽²⁾≧0 denotes the bandwidth in terms of resource blocks that are reserved exclusively for PUCCH formats 2/2a/2b transmission in each slot. The variable N_(cs) ⁽¹⁾ denotes the number of cyclic shift used for PUCCH formats 1/1a/1b in a resource block used for a mix of formats 1/1a/1b and 2/2a/2b. The value of N_(cs) ⁽¹⁾ is an integer multiple of Δ_(shift) ^(PUCCH) within the range of {0, 1, . . . , 8}, where Δ_(shift) ^(PUCCH) is defined in section 5.4.1. No mixed resource block is present if N_(cs) ⁽¹⁾=0. At most one resource block in each slot supports a mix of formats 1/1a/1b and 2/2a/2b. Resources used for transmission of PUCCH format 1/1a/1b and 2/2a/2b are represented by the non-negative indices n_(PUCCH) ⁽¹⁾ and

${n_{PUCCH}^{(1)} < {{N_{RB}^{(2)}N_{sc}^{RB}} + {\left\lceil \frac{N_{cs}^{(1)}}{8} \right\rceil \cdot \left( {N_{sc}^{RB} - N_{cs}^{(1)} - 2} \right)}}},$

respectively.

5.4.1 PUCCH Formats 1, 1a and 1b

For PUCCH format 1, information is carried by the presence/absence of transmission of PUCCH from the UE. In the remainder of this section, d(0)=1 shall be assumed for PUCCH format 1.

For PUCCH formats 1a and 1b, one or two explicit bits are transmitted, respectively. The block of bits b(0), . . . , b (M_(bit)−1) shall be modulated as described in section 7.1, resulting in a complex-valued symbol d(0). The modulation schemes for the different PUCCH formats are given by Table 5.4-1.

The complex-valued symbol d(0) shall be multiplied with a cyclically shifted length N_(seq) ^(PUCCH)=12 sequence r_(u,v) ^((α)) (n) according to:

y(n)=d(0)·r _(u,v) ^((α))(n),n=0,1, . . . ,N _(seq) ^(PUCCH)  (1)

where r_(u,v) ^((α))(n) is defined by section 5.5.1 with M_(sc) ^(RS)=N_(seq) ^(PPUCCH). The cyclic shift α varies between symbols and slots as defined below.

The block of complex-valued symbols y(0), . . . , y(N_(seq) ^(PUCCH)=1) shall be block-wise spread with the orthogonal sequence w_(n) _(oc) (i) according to

z(m′·N _(SF) ^(PUCCH) ·N _(seq) ^(PUCCH) +m·N _(seq) ^(PUCCH) +n)=w _(n) _(oc) (m)·y(n),  (2)

where

-   -   m=0, . . . , N_(seq) ^(PUCCH)−1     -   n=0, . . . , N_(seq) ^(PUCCH)−1     -   m′=0, 1,         and N_(SF) ^(PUCCH)=4. The sequence w_(n) _(oc) (i) is given by         Table 5.4.1-1.

Resources used for transmission of PUCCH format 1, 1a and 1b are identified by a resource index n_(PUCCH) ⁽¹⁾ from which the orthogonal sequence index n_(oc)(n_(s)) and the cyclic shift α(n_(s)) are determined according to:

$\begin{matrix} {\mspace{79mu} {{n_{oc}\left( n_{s} \right)} = \left\{ {\begin{matrix} {{{for}\mspace{14mu} {normal}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}},\left\lfloor \frac{{n^{\prime}\left( n_{s} \right)} \cdot \Delta_{shift}^{PUCCH}}{N^{\prime}} \right\rfloor} \\ {{{for}\mspace{14mu} {extended}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}},{2 \cdot \left\lfloor \frac{{n^{\prime}\left( n_{s} \right)} \cdot \Delta_{shift}^{PUCCH}}{N^{\prime}} \right\rfloor}} \end{matrix},} \right.}} & (3) \\ {\mspace{79mu} {{{\alpha \left( n_{s} \right)} = {2{\pi \cdot \frac{n_{cs}\left( n_{s} \right)}{N_{sc}^{RB}}}}},}} & (4) \\ {{n_{cs}\left( n_{s} \right)} = \left\{ {\begin{matrix} \begin{matrix} {{{for}\mspace{14mu} {normal}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}},} \\ {\begin{bmatrix} {{n_{cs}^{cell}\left( {n_{s},l} \right)} + \left( {{{n^{\prime}\left( n_{s} \right)} \cdot \Delta_{shift}^{PUCCH}} + \delta_{offset}^{PUCCH}} \right) +} \\ {\left( {{n_{oc}\left( n_{s} \right)}{mod}\; \Delta_{shift}^{PUCCH}} \right){mod}\mspace{11mu} N^{\prime}} \end{bmatrix}{mod}\mspace{11mu} N_{sc}^{RB}} \end{matrix} \\ \begin{matrix} {{{for}\mspace{14mu} {extended}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}},} \\ {\begin{bmatrix} {{n_{cs}^{cell}\left( {n_{s},l} \right)} + \left( {{{n^{\prime}\left( n_{s} \right)} \cdot \Delta_{shift}^{PUCCH}} + \delta_{offset}^{PUCCH}} \right) +} \\ {\left( {{n_{oc}\left( n_{s} \right)}/2} \right){mod}\mspace{11mu} N^{\prime}} \end{bmatrix}{mod}\mspace{11mu} N_{sc}^{RB}} \end{matrix} \end{matrix},} \right.} & (5) \\ {\mspace{79mu} {N^{\prime} = \left\{ {\begin{matrix} {{N_{cs}^{(1)}\mspace{11mu} {if}\mspace{14mu} n_{PUCCH}^{(1)}} < {c \cdot {N_{cs}^{(1)}/\Delta_{shift}^{PUCCH}}}} \\ {N_{sc}^{RB}\mspace{11mu} {otherwise}} \end{matrix},{and}} \right.}} & (6) \\ {\mspace{79mu} {c = \left\{ {\begin{matrix} {3\mspace{14mu} {normal}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \\ {2\mspace{14mu} {extended}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \end{matrix}.} \right.}} & (7) \end{matrix}$

The resource indices within the two resource blocks in the two slots of a subframe to which the PUCCH is mapped are given by

$\begin{matrix} {{n^{\prime}\left( n_{s} \right)} = \left\{ \begin{matrix} {{{{if}\mspace{14mu} n_{PUCCH}^{(1)}} < \frac{c \cdot N_{cs}^{(1)}}{\Delta_{shift}^{PUCCH}}},n_{PUCCH}^{(1)}} \\ {{otherwise},{\left( {n_{PUCCH}^{(1)} - \frac{c \cdot N_{cs}^{(1)}}{\Delta_{shift}^{PUCCH}}} \right)\; {mod}\; \left( \frac{c \cdot N_{sc}^{RB}}{\Delta_{shift}^{PUCCH}} \right)}} \end{matrix} \right.} & (8) \end{matrix}$

when (n_(s)) mod 2=0; and by

$\begin{matrix} {{n^{\prime}\left( n_{s} \right)} = \left\{ \begin{matrix} {{{for}\mspace{14mu} {normal}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}\mspace{14mu} {and}\mspace{14mu} n_{PUCCH}^{(1)}} \geq} \\ {\frac{c \cdot N_{cs}^{(1)}}{\Delta_{shift}^{PUCCH}},{{\left\lbrack {3\left( {{n^{\prime}\left( n_{s} \right)} + 1} \right)} \right\rbrack {mod}\; \left( {\frac{3N_{cs}^{RB}}{\Delta_{shift}^{PUCCH}} + 1} \right)} - 1}} \\ {{otherwise},{n^{\prime}\left( n_{s} \right)}} \end{matrix} \right.} & (9) \end{matrix}$

when (n_(s)) mod 2=1. The quantities

$\begin{matrix} {\Delta_{shift}^{PUCCH} \in \left\{ {\begin{matrix} {\left\{ {\lbrack 1\rbrack,2,3} \right\} \mspace{11mu} {for}\mspace{14mu} {normal}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \\ {\left\{ {2,3} \right\} \mspace{11mu} {for}\mspace{14mu} {extended}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \end{matrix},} \right.} & (10) \\ {\delta_{shift}^{PUCCH} \in \left\{ {0,1,\ldots \mspace{11mu},\Delta_{shift}^{PUCCH}} \right\}} & (11) \end{matrix}$

are set by higher layers.”

In the present disclosure, novel slot-level remapping methods are proposed to provide a better intra-cell randomization, especially for ACK/NAK resource blocks with extended cyclic prefix, and for normal cyclic: prefix cases with mixed resource block where the ACK/NAK and CQI coexist in a single resource block. Method A and Method B are proposed as below.

Equations (8) and (9) above are referred by the present disclosure.

Aspects, features, and advantages of the disclosure are readily apparent from the following detailed description, simply by illustrating a number of particular embodiments and implementations, including the best mode contemplated for carrying out the described subject matter. The subject matter of the disclosure is also capable of other and different embodiments, and its several details can be modified in various obvious respects, all without departing from the spirit and scope of the disclosure. Accordingly, the drawings and description are to be regarded as illustrative in nature, and not as restrictive. The subject matter of the disclosure is illustrated by way of example, and not by way of limitation, in the figures of the accompanying drawings.

FIG. 5 is a flow chart illustrating a transmitting method of physical uplink channel signals in accordance with the embodiments of the present disclosure. In step 701, signal processing unit_Tx 120 allocates a cyclic shift and an orthogonal cover to physical uplink control channels; in step 703, signal processing unit_Tx 120 maps in a slot-level, the physical uplink control channels into two resource blocks respectively located at two slots of a subframe; and in step 705, the transmitting antennas transmits the mapped physical uplink control channels. The present disclosure introduces novel remapping methods for performing step 703.

Method C

In one embodiment of the current disclosure, a slot-level remapping method, method C, is proposed. In this method, the resource indices within the two resource blocks respectively in the two slots of a subframe to which the PUCCH is mapped are given by:

-   -   when (n_(s)) mod 2=0, resource indices of the physical uplink         control channels within a first slot of the two slots of the         subframe are established by:

$\begin{matrix} {{n^{\prime}\left( n_{s} \right)} = \left\{ {\begin{matrix} {{{{if}\mspace{14mu} n_{PUCCH}^{(1)}} < \frac{c \cdot N_{cs}^{(1)}}{\Delta_{shift}^{PUCCH}}},n_{PUCCH}^{(1)}} \\ {{otherwise},{\left( {n_{PUCCH}^{(1)} - \frac{c \cdot N_{cs}^{(1)}}{\Delta_{shift}^{PUCCH}}} \right)\; {mod}\; \left( \frac{c \cdot N_{sc}^{RB}}{\Delta_{shift}^{PUCCH}} \right)}} \end{matrix};{and}} \right.} & (12) \end{matrix}$

-   -   when (n_(s)) mod 2=1, the resource indices of the physical         uplink control channels within a second slot of the two slots of         the subframe to which the physical uplink channel symbols are         remapped by:

$\begin{matrix} \begin{matrix} {{n^{\prime}\left( n_{s} \right)} = {f\left( {n^{\prime}\left( {n_{s} - 1} \right)} \right)}} \\ {= \left\{ {\begin{matrix} {{{for}\mspace{14mu} {normal}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}\mspace{14mu} {and}\mspace{14mu} n_{PUCCH}^{(1)}} \geq} \\ {\frac{c \cdot N_{cs}^{(1)}}{\Delta_{shift}^{PUCCH}},{{\left\lbrack {{3\left( {n^{\prime}\left( {n_{s} - 1} \right)} \right)} + 1} \right\rbrack \; {mod}\; \left( {\frac{3N_{cs}^{RB}}{\Delta_{shift}^{PUCCH}} + 1} \right)} - 1}} \\ {{otherwise},} \\ \left\{ {d + \left\lfloor \frac{\left( {n^{\prime}\left( {n_{s} - 1} \right)} \right)}{c} \right\rfloor + {\left\lbrack {{n^{\prime}\left( {n_{s} - 1} \right)}\; {mod}\mspace{14mu} c} \right\rbrack \cdot \left( \frac{N^{\prime}}{\Delta_{shift}^{PUCCH}} \right)}} \right\} \\ {\; {{mod}\; \left( \frac{c \cdot N^{\prime}}{\Delta_{shift}^{PUCCH}} \right)}} \end{matrix},} \right.} \end{matrix} & (13) \end{matrix}$

where

$\begin{matrix} {d = \left\{ {\begin{matrix} {d_{1}\mspace{14mu} {for}\mspace{14mu} {normal}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \\ {d_{2}\mspace{14mu} {for}\mspace{14mu} {extended}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \end{matrix},} \right.} & (14) \end{matrix}$

with d₁, d₂ being a pair of two independent parameters. There are several examples of the parameter pair d₁, d₂. One example of the parameter pair d₁, d₂ is d₁=2, d₂=0. Another example of the parameter pair d₁, d₂ is d₁=2, d₂=2. Another example of the parameter pair d₁, d₂ is d₁=1, d₂=0.

Here, n_(s) is a slot index within a subframe, n_(PUCCH) ⁽¹⁾ s a resource index for physical uplink control channel format 1, 1a and 1b, N_(cs) ⁽¹⁾ is a number of cyclic shifts used for the physical uplink control channel format 1, 1a and 1b in the resource block, and NIT is a resource block size in the frequency domain.

Method D

In another embodiment of the current disclosure, a slot-level remapping method, method D, is proposed. In this method, the resource indices within the two resource blocks respectively in the two slots of a subframe to which the PUCCH is mapped are given by:

-   -   when (n_(s)) mod 2=0, the resource indices of the physical         uplink control channels within a first slot of the two slots of         the subframe to which the physical uplink channel symbols are         remapped by:

$\begin{matrix} {{n^{\prime}\left( n_{s} \right)} = \left\{ {\begin{matrix} {{{{if}\mspace{14mu} n_{PUCCH}^{(1)}} < \frac{c \cdot N_{cs}^{(1)}}{\Delta_{shift}^{PUCCH}}},n_{PUCCH}^{(1)}} \\ {{otherwise},{\left( {n_{PUCCH}^{(1)} - \frac{c \cdot N_{cs}^{(1)}}{\Delta_{shift}^{PUCCH}}} \right)\; {mod}\; \left( \frac{c \cdot N_{sc}^{RB}}{\Delta_{shift}^{PUCCH}} \right)}} \end{matrix};{and}} \right.} & (15) \end{matrix}$

-   -   when (n_(s)) mod 2=1, the resource indices of the physical         uplink control channels within a second slot of the two slots of         the subframe to which the physical uplink channel symbols are         remapped by:

$\begin{matrix} \begin{matrix} {{n^{\prime}\left( n_{s} \right)} = {f\left( {n^{\prime}\left( {n_{s} - 1} \right)} \right)}} \\ {= \left\{ {\begin{matrix} {{{for}\mspace{14mu} {normal}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}\mspace{14mu} {and}\mspace{14mu} n_{PUCCH}^{(1)}} \geq} \\ {\frac{c \cdot N_{cs}^{(1)}}{\Delta_{shift}^{PUCCH}},{{\left\lbrack {{3\left( {n^{\prime}\left( {n_{s} - 1} \right)} \right)} + 1} \right\rbrack \; {mod}\; \left( {\frac{3N_{cs}^{RB}}{\Delta_{shift}^{PUCCH}} + 1} \right)} - 1}} \\ {{otherwise},} \\ {\left\lfloor \frac{h\left( {n^{\prime}\left( {n_{s} - 1} \right)} \right)}{c} \right\rfloor + {\left\lbrack {{h\left( {n^{\prime}\left( {n_{s} - 1} \right)} \right)}\; {mod}\mspace{14mu} c} \right\rbrack \cdot \left( \frac{N^{\prime}}{\Delta_{shift}^{PUCCH}} \right)}} \end{matrix},} \right.} \end{matrix} & (16) \end{matrix}$

where

$\begin{matrix} {{{{h\left( {n^{\prime}\left( {n_{s} - 1} \right)} \right)} = {\left( {{n^{\prime}\left( {n_{s} - 1} \right)} + d} \right)\; {mod}\; \left( \frac{c\; N^{\prime}}{\Delta_{shift}^{PUCCH}} \right)}},{and}}{d = \left\{ {\begin{matrix} {d_{3}\mspace{14mu} {for}\mspace{14mu} {normal}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \\ {d_{4}\mspace{14mu} {for}\mspace{14mu} {extended}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \end{matrix},} \right.}} & (17) \end{matrix}$

d₃ and d₄ are a pair of two independent predetermined parameters. There are several examples of the parameter pair d₃, d₄. One example of the parameter pair d₃, d₄ is d₃=1, d₄=0. Another example of the parameter pair d₃, d₄ is d₃=1, d₄=1.

In this method, the resource indices within the two resource blocks respectively in the two slots of a subframe to which the PUCCH is mapped may be also given by:

-   -   when (n_(s)) mod 2=0, the resource indices of the physical         uplink control channels within the first slot of the two slots         of the subframe to which the physical uplink channel symbols are         remapped by:

$\begin{matrix} {{n^{\prime}\left( n_{s} \right)} = \left\{ {\begin{matrix} {{{{if}\mspace{14mu} n_{PUCCH}^{(1)}} < \frac{c \cdot N_{cs}^{(1)}}{\Delta_{shift}^{PUCCH}}},n_{PUCCH}^{(1)}} \\ {{otherwise},{\left( {n_{PUCCH}^{(1)} - \frac{c \cdot N_{cs}^{(1)}}{\Delta_{shift}^{PUCCH}}} \right)\; {mod}\; \left( \frac{c \cdot N_{sc}^{RB}}{\Delta_{shift}^{PUCCH}} \right)}} \end{matrix};{and}} \right.} & (18) \end{matrix}$

-   -   when (n_(s)) mod 2=1, the resource indices of the physical         uplink control channels within the second slot of the two slots         of the subframe to which the physical uplink channel symbols are         remapped by:

$\begin{matrix} \begin{matrix} {{n^{\prime}\left( n_{s} \right)} = {f\left( {n^{\prime}\left( {n_{s} - 1} \right)} \right)}} \\ {= \left\{ {\begin{matrix} {{{for}\mspace{14mu} {normal}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}\mspace{14mu} {and}\mspace{14mu} n_{PUCCH}^{(1)}} \geq} \\ {\frac{c \cdot N_{cs}^{(1)}}{\Delta_{shift}^{PUCCH}},{{\left\lbrack {{c\left( {n^{\prime}\left( {n_{s} - 1} \right)} \right)} + 1} \right\rbrack \; {mod}\; \left( {\frac{c\; N_{cs}^{RB}}{\Delta_{shift}^{PUCCH}} + 1} \right)} - 1}} \\ {{otherwise},} \\ {\left\lfloor \frac{h}{c} \right\rfloor + {\left\lbrack {h\mspace{14mu} {mod}\mspace{14mu} c} \right\rbrack \cdot \left( \frac{N^{\prime}}{\Delta_{shift}^{PUCCH}} \right)}} \end{matrix},} \right.} \end{matrix} & (19) \end{matrix}$

where:

$\begin{matrix} {{{h\left( {n^{\prime}\left( {n_{s} - 1} \right)} \right)} = {\left( {{n^{\prime}\left( {n_{s} - 1} \right)} + d} \right)\; {mod}\; \left( \frac{c\; N^{\prime}}{\Delta_{shift}^{PUCCH}} \right)}},} & (20) \end{matrix}$

with d=2 for normal CP and d=0 for extended CP.

Method D has been accepted by 3GPP standards presented by document TSG RAN WG1 #53b R1-082660 developed at meeting held in Warsaw, Poland, from Jun. 30, 2008 through Jul. 4, 2008. On page 2 of R1-082660, it is stated that:

“The resource indices in the two slots of a subframe to which the PUCCH is mapped are given by

${n^{\prime}\left( n_{s} \right)} = \left\{ \begin{matrix} {{{{if}\mspace{14mu} n_{PUCCH}^{(1)}} < \frac{c \cdot N_{cs}^{(1)}}{\Delta_{shift}^{PUCCH}}},} & n_{PUCCH}^{(1)} \\ {{otherwise},} & {\left( {n_{PUCCH}^{(1)} - \frac{c \cdot N_{cs}^{(1)}}{\Delta_{shift}^{PUCCH}}} \right){{mod}\left( \frac{c \cdot N_{sc}^{RB}}{\Delta_{shift}^{PUCCH}} \right)}} \end{matrix} \right.$

for (n_(s)) mod 2=0 and by

${n^{\prime}\left( n_{s} \right)} = \left\{ \begin{matrix} {{n_{PUCCH}^{(1)} \geq \frac{c \cdot N_{cs}^{(1)}}{\Delta_{shift}^{PUCCH}}},} & {{\left\lbrack {{c\left( {n^{\prime}\left( {n_{s} - 1} \right)} \right)} + 1} \right\rbrack {{mod}\left( {\frac{{cN}_{cs}^{RB}}{\Delta_{shift}^{PUCCH}} + 1} \right)}} - 1} \\ {{otherwise},} & {\left\lfloor \frac{h}{c} \right\rfloor + {\left\lbrack {h\; {mod}\; c} \right\rbrack \cdot \left( \frac{N^{\prime}}{\Delta_{shift}^{PUCCH}} \right)}} \end{matrix} \right.$

for (n_(s)) mod 2=1, where

$h = {\left( {{n^{\prime}\left( {n_{s} - 1} \right)} + d} \right){{mod}\left( \frac{{cN}^{\prime}}{\Delta_{shift}^{PUCCH}} \right)}}$

with d=2 for normal CP and d=0 for extended CP. Note,

$\Delta_{shift}^{PUCCH} \in \left\{ {\begin{matrix} \left\{ {\lbrack 1\rbrack,2,3} \right\} & {{for}\mspace{14mu} {normal}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \\ \left\{ {2,3} \right\} & {{for}\mspace{14mu} {extended}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \end{matrix},{\delta_{shift}^{PUCCH} \in {\left\{ {0,1,\ldots \mspace{14mu},{\Delta_{shift}^{PUCCH} - 1}} \right\} .^{''}}}} \right.$

In the R1-082660 of 3GPP standards, the form of equation (16) is rewritten to:

${n^{\prime}\left( n_{s} \right)} = \left\{ \begin{matrix} {{n_{PUCCH}^{(1)} \geq \frac{c \cdot N_{cs}^{(1)}}{\Delta_{shift}^{PUCCH}}},} & {{\left\lbrack {{c\left( {n^{\prime}\left( {n_{s} - 1} \right)} \right)} + 1} \right\rbrack {{mod}\left( {\frac{{cN}_{cs}^{RB}}{\Delta_{shift}^{PUCCH}} + 1} \right)}} - 1} \\ {{otherwise},} & {\left\lfloor \frac{h}{c} \right\rfloor + {\left\lbrack {h\; {mod}\; c} \right\rbrack \cdot \left( \frac{N^{\prime}}{\Delta_{shift}^{PUCCH}} \right)}} \end{matrix} \right.$

for (n_(s)) mod 2=1, where

$h = {\left( {{n^{\prime}\left( {n_{s} - 1} \right)} + d} \right){{mod}\left( \frac{{cN}^{\prime}}{\Delta_{shift}^{PUCCH}} \right)}}$

while the contents of equation (16) are not altered. Here, d₃=2 is for normal cyclic prefix, and d₄=0 is for extended cyclic prefix.

In section 5.4.1 of 3GPP standards version TS 36.211 V8.3.0 (2008-05), published on Jun. 18, 2008, it is stated that:

“The resource indices within the two resource blocks in the two slots of a subframe to which the PUCCH is mapped are given by

${n^{\prime}\left( n_{s} \right)} = \left\{ \begin{matrix} n_{PUCCH}^{(1)} & {{{if}\mspace{14mu} n_{PUCCH}^{(1)}} < \frac{c \cdot N_{cs}^{(1)}}{\Delta_{shift}^{PUCCH}}} \\ {\left( {n_{PUCCH}^{(1)} - \frac{c \cdot N_{cs}^{(1)}}{\Delta_{shift}^{PUCCH}}} \right){{mod}\left( \frac{c \cdot N_{sc}^{RB}}{\Delta_{shift}^{PUCCH}} \right)}} & {otherwise} \end{matrix} \right.$

for (n_(s)) mod 2=0 and by

${n^{\prime}\left( n_{s} \right)} = \left\{ \begin{matrix} {{\left\lbrack {{3\left( {n^{\prime}\left( {n_{s} - 1} \right)} \right)} + 1} \right\rbrack {{mod}\left( {\frac{3N_{cs}^{RB}}{\Delta_{shift}^{PUCCH}} + 1} \right)}} - 1} & {\begin{matrix} {{for}\mspace{14mu} {norm}\; {al}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}\mspace{14mu} {and}} \\ {n_{PUCCH}^{(1)} \geq \frac{c \cdot N_{cs}^{(1)}}{\Delta_{shift}^{PUCCH}}} \end{matrix},} \\ {n^{\prime}\left( {n_{s} - 1} \right)} & {otherwise} \end{matrix} \right.$

for (n_(s)) mod 2=1. The quantities

$\Delta_{shift}^{PUCCH} \in \left\{ {\begin{matrix} \left\{ {1,2,3} \right\} & {{for}\mspace{14mu} {normal}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \\ \left\{ {1,2,3} \right\} & {{for}\mspace{14mu} {extended}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \end{matrix},{\delta_{shift}^{PUCCH} \in \left\{ {0,1,\ldots \mspace{14mu},{\Delta_{shift}^{PUCCH} - 1}} \right\}}} \right.$

are set by higher layers.”

The subject matter of the present disclosure has been implanted in 3GPP standards version TS 36.211 V8.4.0 (2008-09), published on Sep. 24, 2008. In section 5.4.1 of 3GPP standards TS 36.211 V8.4.0, it is stated that:

“The resource indices within the two resource blocks in the two slots of a subframe to which the PUCCH is mapped are given by

${n^{\prime}\left( n_{s} \right)} = \left\{ \begin{matrix} n_{PUCCH}^{(1)} & {{{if}\mspace{14mu} n_{PUCCH}^{(1)}} < \frac{c \cdot N_{cs}^{(1)}}{\Delta_{shift}^{PUCCH}}} \\ {\left( {n_{PUCCH}^{(1)} - \frac{c \cdot N_{cs}^{(1)}}{\Delta_{shift}^{PUCCH}}} \right){{mod}\left( \frac{c \cdot N_{sc}^{RB}}{\Delta_{shift}^{PUCCH}} \right)}} & {otherwise} \end{matrix} \right.$

for (n_(s)) mod 2=0 and by

${n^{\prime}\left( n_{s} \right)} = \left\{ \begin{matrix} {{\left\lbrack {{c\left( {n^{\prime}\left( {n_{s} - 1} \right)} \right)} + 1} \right\rbrack {{mod}\left( {\frac{{cN}_{cs}^{RB}}{\Delta_{shift}^{PUCCH}} + 1} \right)}} - 1} & {{{{for}\mspace{14mu} n_{PUCCH}^{(1)}} \geq \frac{c \cdot N_{cs}^{(1)}}{\Delta_{shift}^{PUCCH}}},} \\ {\left\lfloor \frac{h}{c} \right\rfloor + {\left\lbrack {h\; {mod}\; c} \right\rbrack \cdot \left( \frac{N^{\prime}}{\Delta_{shift}^{PUCCH}} \right)}} & {otherwise} \end{matrix} \right.$

for (n_(s)) mod 2=1, where

${h = {\left( {{n^{\prime}\left( {n_{s} - 1} \right)} + d} \right){{mod}\left( \frac{{cN}^{\prime}}{\Delta_{shift}^{PUCCH}} \right)}}},$

with d=2 for normal CP and d=0 for extended CP. The quantities

$\Delta_{shift}^{PUCCH} \in \left\{ {\begin{matrix} \left\{ {1,2,3} \right\} & {{for}\mspace{14mu} {normal}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \\ \left\{ {1,2,3} \right\} & {{for}\mspace{14mu} {extended}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \end{matrix},{\delta_{shift}^{PUCCH} \in \left\{ {0,1,\ldots \mspace{14mu},{\Delta_{shift}^{PUCCH} - 1}} \right\}}} \right.$

are set by higher layers.”

Comparing 3GPP standards version TS 36.211 V8.4.0 (2008-09) and 3GPP standards version TS 36.211 V8.4.0 (2008-05), the latest 3GPP standards version TS 36.211 V8.4.0 (2008-09) implanted the equations for the resource indices for both of the extended CP case and mixed RB case, and introduces a new parameter “d” for the mapping of the resource indices of the physical uplink control channels within one of two slots of a subframe by implanting the present disclosure, and the resource indices are given by

${n^{\prime}\left( n_{s} \right)} = \left\{ \begin{matrix} {{\left\lbrack {{c\left( {n^{\prime}\left( {n_{s} - 1} \right)} \right)} + 1} \right\rbrack {{mod}\left( {\frac{{cN}_{cs}^{RB}}{\Delta_{shift}^{PUCCH}} + 1} \right)}} - 1} & {{{{for}\mspace{14mu} n_{PUCCH}^{(1)}} \geq \frac{c \cdot N_{cs}^{(1)}}{\Delta_{shift}^{PUCCH}}},} \\ {\left\lfloor \frac{h}{c} \right\rfloor + {\left\lbrack {h\; {mod}\; c} \right\rbrack \cdot \left( \frac{N^{\prime}}{\Delta_{shift}^{PUCCH}} \right)}} & {otherwise} \end{matrix} \right.$

for (n_(s)) mod 2=1, where

${h = {\left( {{n^{\prime}\left( {n_{s} - 1} \right)} + d} \right){{mod}\left( \frac{{cN}^{\prime}}{\Delta_{shift}^{PUCCH}} \right)}}},$

with d=2 for normal CP and d=0 for extended CP. By introducing the above stated equations and the parameter “d” for the mapping of the resource indices, the present disclosure achieves a better randomization and a better performance of the mapping of the resource blocks within the communication system.

Method E

In another embodiment of the current disclosure, a slot-level remapping method, method E, is proposed. In this method, the resource indices within the two resource blocks respectively in the two slots of a subframe to which the PUCCH is mapped are given by:

-   -   when (n_(s)) mod 2=0, the resource indices of the physical         uplink control channels within the first slot of the two slots         of the subframe to which the physical uplink channel symbols are         remapped by:

$\begin{matrix} {{n^{\prime}\left( n_{s} \right)} = \left\{ {\begin{matrix} {{{{if}\mspace{14mu} n_{PUCCH}^{(1)}} < \frac{c \cdot N_{cs}^{(1)}}{\Delta_{shift}^{PUCCH}}},} & n_{PUCCH}^{(1)} \\ {{otherwise},} & {\left( {n_{PUCCH}^{(1)} - \frac{c \cdot N_{cs}^{(1)}}{\Delta_{shift}^{PUCCH}}} \right){{mod}\left( \frac{c \cdot N_{sc}^{RB}}{\Delta_{shift}^{PUCCH}} \right)}} \end{matrix};\mspace{20mu} {and}} \right.} & (21) \end{matrix}$

-   -   when (n_(s)) mod 2=1, the resource indices of the physical         uplink control channels within the second slot of the two slots         of the subframe to which the physical uplink channel symbols are         remapped by:

$\begin{matrix} {{n^{\prime}\left( n_{s} \right)} = {{f\left( {n^{\prime}\left( {n_{s} - 1} \right)} \right)} = \left\{ {\begin{matrix} {{{{for}\mspace{14mu} {normal}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}\mspace{14mu} {and}\mspace{14mu} n_{PUCCH}^{(1)}} \geq \frac{c \cdot N_{cs}^{(1)}}{\Delta_{shift}^{PUCCH}}},} \\ {{\left\lbrack {{3\left( {n^{\prime}\left( {n_{s} - 1} \right)} \right)} + 1} \right\rbrack {{mod}\left( {\frac{3N_{sc}^{RB}}{\Delta_{shift}^{PUCCH}} + 1} \right)}} - 1} \\ {{otherwise},} \\ {\begin{Bmatrix} {e + \left\lfloor \frac{h\left( {n^{\prime}\left( {n_{s} - 1} \right)} \right)}{c} \right\rfloor +} \\ {\left\lbrack {h\left( {n^{\prime}\left( {n_{s} - 1} \right)} \right){mod}\; c} \right\rbrack \cdot \left( \frac{N^{\prime}}{\Delta_{shift}^{PUCCH}} \right)} \end{Bmatrix}{{mod}\left( \frac{c \cdot N^{\prime}}{\Delta_{shift}^{PUCCH}} \right)}} \end{matrix},} \right.}} & (22) \end{matrix}$

where

$\begin{matrix} {{{{h\left( {n^{\prime}\left( {n_{s} - 1} \right)} \right)} = {\left( {{n^{\prime}\left( {n_{s} - 1} \right)} + d} \right){{mod}\left( \frac{{cN}^{\prime}}{\Delta_{shift}^{PUCCH}} \right)}}},{and}}{d = \left\{ {\begin{matrix} d_{3} & {{for}\mspace{14mu} {normal}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \\ d_{4} & {{for}\mspace{14mu} {extended}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \end{matrix},} \right.}} & (23) \\ {e = \left\{ {\begin{matrix} e_{3} & {{for}\mspace{14mu} {normal}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \\ e_{4} & {{for}\mspace{14mu} {extended}\mspace{14mu} {cylic}\mspace{14mu} {prefix}} \end{matrix},} \right.} & (24) \end{matrix}$

with d₃, d₄ being a pair of two independent parameters and e₃, e₄ being another pair of two independent parameters. There are several examples of the parameter pair d₃, d₄. One example of the parameter pair d₃, d₄ is d₃=1, d₄=0. Another example of the parameter pair d₃, d₄ is d₃=1, d₄=1. There are several examples of the parameter pair e₃, e₄. One example of the parameter pair e₃, e₄ is e₃=1, e₄=0. Another example of the parameter pair e₃, e₄ is e₃=2, e₄=2.

Examples of Method C

Six examples for illustrating method C are listed below. As shown in these examples, the proposed method C may be generally adapted to a complex 3GPP LTE physical uplink where ACK/NAK resource blocks may be applied by the extended cyclic prefix, mixed resource blocks (where the ACK/NAK and CQI channels coexist) may be applied by the normal cyclic prefix, or mixed resource blocks (where the ACK/NAK and CQI channels coexist) may be applied by the extended cyclic prefix. Examples One through Six of Method C are on the assumption that the parameter pair d₁=1, d₂=0.

Example One

In the first example, only ACK/NAK channels are carried by the resource block and the extended cyclic prefix is applied. Here, Δ_(shift) ^(PUCCH)=2, N′=12, c=2, and thus n′(0) and n′(1)=f(n′(0)) are achieved as:

n′(0) 0 1 2 3 4 5 6 7 8 9 10 11 n′(1) = f(n′(0)) 0 6 1 7 2 8 3 9 4 10 5 11

TABLE 1 Example of CS/OC Sequence Remapping, Δ_(shift) ^(PUCCH) = 2, Extended CP Cell specific cyclic shift offset Slot 0 Slot 1 δ_(offset) = 1 δ_(offset) = 0 OC_(index) = 0 OC_(index) = 0 CS_(index) = 1 CS_(index) = 0 n′(0) = 0 OC_(index) = 2 n′(1) = f(n′(0)) OC_(index) = 2 2 1 n′(0) = 6 1 3 2 1 2 4 3 7 3 5 4 2 4 6 5 8 5 7 6 3 6 8 7 9 7 9 8 4 8 10 9 10 9 11 10 5 10 11 11 11

TABLE 1 shows the example of CS/OC sequence remapping, where Δ_(shift) ^(PUCCH)=2 and an extended cyclic prefix is applied. The resource indices within the two resource blocks respectively in the two slots of a subframe to which the PUCCH is mapped are given by TABLE 1.

Example Two

In the second example, only ACK/NAK channels are carried by the resource block and the extended cyclic prefix is applied. Here, Δ_(shift) ^(PUCCH)=3, N′=12, c=2, and thus n′(0) and n′(1)=f(n′(0)) are achieved as:

n′(0) 0 1 2 3 4 5 6 7 n′(1) = f(n′(0)) 0 4 1 5 2 6 3 7

TABLE 2 Example of CS/OC Sequence Remapping, Δ_(shift) ^(PUCCH) = 3, Extended CP Cell specific cyclic shift offset Slot 0 Slot 1 δ_(offset) = 2 δ_(offset) = 1 δ_(offset) = 0 OC_(index) = 0 OC_(index) = 2 OC_(index) = 0 OC_(index) = 2 CS_(index) = 2 CS_(index) = 1 CS_(index) = 0 n′(0) = 0 n′(1) = f(n′(0)) = 0 3 2 1 n′(0) = 4 1 4 3 2 5 4 3 1 2 6 5 4 5 3 7 6 5 8 7 6 2 4 9 8 7 6 5 10 9 8 11 10 9 3 6 0 11 10 7 7 1 0 11

TABLE 2 shows the example of CS/OC sequence remapping, where Δ_(shift) ^(PUCCH)=3 and an extended cyclic prefix is applied. The resource indices within the two resource blocks respectively in the two slots of a subframe to which the PUCCH is mapped are given by TABLE 2.

Example Three

In the third example, ACK/NAK channels and CQI channels are carried by the resource block and the extended cyclic prefix is applied. Here, Δ_(shift) ^(PUCCH)=2, N′=6, c=2, and thus n′(0) and n′(1)=f(n′(0)) are achieved as:

n′(0) 0 1 2 3 4 5 n′(1) = f(n′(0)) 0 3 1 4 2 5

TABLE 3 Example of CS/OC Sequence Remapping, Δ_(shift) ^(PUCCH) = 2, Extended CP Cell specific cyclic shift offset Slot 0 Slot 1 δ_(offset) = 1 δ_(offset) = 0 OC_(index) = 0 OC_(index) = 0 CS_(index) = 1 CS_(index) = 0 n′(0) = 0 OC_(index) = 2 n′(1) = f(n′(0)) OC_(index) = 2 2 1 n′(0) = 3 1 3 2 1 2 4 3 4 3 5 4 2 4 6 5 5 5 7 6 8 7 CQI CQI 9 8 10 9 11 10 0 11

TABLE 3 shows the example of CS/OC sequence remapping, where Δ_(shift) ^(PUCCH)=2 and an extended cyclic prefix is applied. The resource indices within the two resource blocks respectively in the two slots of a subframe to which the PUCCH is mapped are given by TABLE 3.

Example Four

In the fourth example, ACK/NAK channels and CQI channels are carried by the resource block and the extended cyclic prefix is applied. Here, Δ_(shift) ^(PUCCH)=3, N′=6, c=2, and thus n′(0) and n′(1)=f(n′(0)) are achieved as:

n′(0) 0 1 2 3 n′(1) = f(n′(0)) 0 2 1 3

TABLE 4 Example of CS/OC Sequence Remapping, Δ_(shift) ^(PUCCH) = 3, Extended CP Cell specific cyclic shift offset Slot 0 Slot 1 δ_(offset) = 1 δ_(offset) = 0 OC_(index) = 0 OC_(index) = 0 CS_(index) = 1 CS_(index) = 0 n′(0) = 0 OC_(index) = 2 n′(1) = f(n′(0)) OC_(index) = 2 2 1 n′(0) = 2 1 3 2 4 3 1 2 5 4 3 3 6 5 7 6 CQI CQI 8 7 9 8 10 9 11 10 0 11

TABLE 4 shows the example of CS/OC sequence remapping, where Δ_(shift) ^(PUCCH)=3 and an extended cyclic prefix is applied. The resource indices within the two resource blocks respectively in the two slots of a subframe to which the PUCCH is mapped are given by TABLE 4.

Example Five

In the fifth example, ACK/NAK channels and CQI channels are carried by the resource block and the normal cyclic prefix is applied. Here, Δ_(shift) ^(PUCCH)=2, N′=6, c=3, and thus n′(0) and n′(1)=f(n′(0)) are achieved as:

n′(0) 0 1 2 3 4 5 6 7 8 n′(1) = f(n′(0)) 0 4 7 2 5 8 3 6 0

TABLE 5 Example of CS/OC Sequence Remapping, Δ_(shift) ^(PUCCH) = 2, Normal CP Cell specific cyclic shift offset Slot 0 Slot 1 δ_(offset) = 1 δ_(offset) = 0 OC_(index) = 0 OC_(index) = 1 OC_(index) = 2 OC_(index) = 0 OC_(index) = 1 OC_(index) = 2 CS_(index) = 1 CS_(index) = 0 n′(0) = 0 n′(0) = 6 8 7 2 1 n′(0) = 3 6 3 2 1 7 0 2 4 3 4 1 5 4 2 8 3 5 6 5 5 4 7 6 8 7 CQI CQI 9 8 10 9 11 10 0 11

TABLE 5 shows the example of CS/OC sequence remapping, where Δ_(shift) ^(PUCCH)=2 and a normal cyclic prefix is applied. The resource indices within the two resource blocks respectively in the two slots of a subframe to which the PUCCH is mapped are given by TABLE 5.

Example Six

In the sixth example, ACK/NAK channels and CQI channels are carried by the resource block and the normal cyclic prefix is applied. Here, Δ_(shift) ^(PUCCH)=3, N′=6, c=3, and thus n′(0) and n′(1)=f(n′(0)) are achieved as:

n′(0) 0 1 2 3 4 5 n′(1) = f(n′(0)) 1 3 5 2 4 0

TABLE 6 Example of CS/OC Sequence Remapping, Δ_(shift) ^(PUCCH) = 3, Normal CP Cell specific cyclic shift offset Slot 0 Slot 1 δ_(offset) = 1 δ_(offset) = 0 OC_(index) = 0 OC_(index) = 1 OC_(index) = 2 OC_(index) = 0 OC_(index) = 1 OC_(index) = 2 CS_(index) = 1 CS_(index) = 0 n′(0) = 0 5 2 1 n′(0) = 2 3 3 2 n′(0) = 4 4 4 3 1 0 5 4 3 1 6 5 5 2 7 6 8 7 CQI CQI 9 8 10 9 11 10 0 11

TABLE 6 shows the example of CS/OC sequence remapping, where Δ_(shift) ^(PUCCH)=3 and a normal cyclic prefix is applied. The resource indices within the two resource blocks respectively in the two slots of a subframe to which the PUCCH is mapped are given by TABLE 6.

Examples of Method D

Two examples (Examples seven and eight) for illustrating method D are listed below. As shown in these examples, the proposed method D may be generally adapted to a complex 3GPP LTE physical uplink where ACK/NAK resource blocks may be applied by the extended cyclic prefix, mixed resource blocks (where the ACK/NAK and CQI channels coexist) may be applied by the normal cyclic prefix, or mixed resource blocks (where the ACK/NAK and CQI channels coexist) may be applied by the extended cyclic prefix. Examples of Method D are on the assumption that normal CP are used and normal CP parameter d₃=1.

Example Seven

In the seventh example, ACK/NAK channels and CQI channels are carried by the resource block and the normal cyclic prefix is applied. Here, Δ_(shift) ^(PUCCH)=2, N′=6, c=3, and thus n′(0) and n′(1)=f(n′(0)) are achieved as:

n′(0) 0 1 2 3 4 5 6 7 8 n′(1) = f(n′(0)) 3 6 1 4 7 2 5 8 0

TABLE 7 Example of CS/OC Sequence Remapping, Δ_(shift) ^(PUCCH) = 2, Normal CP Cell specific cyclic shift offset Slot 0 slot 1 δ_(offset) = 1 δ_(offset) = 0 OC_(index) = 0 OC_(index) = 1 OC_(index) = 2 OC_(index) = 0 OC_(index) = 1 OC_(index) = 2 CS_(index) = 1 CS_(index) = 0 n′(0) = 0 n′(0) = 6 8 1 2 1 n′(0) = 3 0 3 2 1 7 2 4 4 3 4 3 5 4 2 8 5 7 6 5 5 6 7 6 8 7 CQI CQI 9 8 10 9 11 10 0 11

TABLE 7 shows the example of CS/OC sequence remapping, where Δ_(shift) ^(PUCCH)=2 and a normal cyclic prefix is applied. The resource indices within the two resource blocks respectively in the two slots of a subframe to which the PUCCH is mapped are given by TABLE 7.

Example Eight

In the eighth example, ACK/NAK channels and CQI channels are carried by the resource block and the normal cyclic prefix is applied. Here, Δ_(shift) ^(PUCCH)=3, N′=6, c=3, and thus n′(0) and n′(1)=f(n′(0)) are achieved as:

n′(0) 0 1 2 3 4 5 n′(1) = f(n′(0)) 2 4 1 3 5 0

TABLE 8 Example of CS/OC Sequence Remapping, Δ_(shift) ^(PUCCH) = 3, Normal CP Cell specific cyclic shift offset RS orthogonal cover ACK/NACK orthogonal cover δ_(offset) = 1 δ_(offset) = 0 OC_(index) = 0 OC_(index) = 1 OC_(index) = 2 OC_(index) = 0 OC_(index) = 1 OC_(index) = 2 CS_(index) = 1 CS_(index) = 0 n′(0) = 0 5 2 1 n′(0) = 2 0 3 2 n′(0) = 4 1 4 3 1 2 5 4 3 3 6 5 5 4 7 6 8 7 CQI CQI 9 8 10 9 11 10 0 11

TABLE 8 shows the example of CS/OC sequence remapping, where Δ_(shift) ^(PUCCH)=3 and a normal cyclic prefix is applied. The resource indices within the two resource blocks respectively in the two slots of a subframe to which the PUCCH is mapped are given by TABLE 8.

The foregoing paragraphs describe the details of methods and apparatus that are especially adept at remapping the physical uplink control channels. 

What is claimed is:
 1. A method for transmitting uplink control information, the method comprising: determining a cyclic shift and an orthogonal cover for transmitting uplink control information based on a first parameter, n′(n_(s)); and transmitting the control information using the determined cyclic shift and orthogonal cover, wherein, when n_(s) mod 2=1 and n_(PUCCH) ⁽¹⁾<C·N_(cs) ⁽¹⁾Δ_(SHIFT) ^(PUCCH), the n′ (n_(s)) is determined based on: n′(n _(s))=└h/c┘+(h mod c)·N′/Δ _(shift) ^(PUCCH), where: h=(n′(n _(s)−1)+d)mod(cN′/Δ _(shift) ^(PUCCH)), where n_(s) is an index of a slot, n_(PUCCH) ⁽¹⁾ is a resource index for the physical uplink control channel, N_(cs) ⁽¹⁾ is a number of cyclic shifts used for the physical uplink control channel in the resource blocks, d is a predetermined parameter, Δ_(shift) ^(PUCCH) is a parameter signaled by a higher layer, N′ is an integer selected based upon n_(PUCCH) ⁽¹⁾, and $\; {c = \left\{ {\begin{matrix} 3 & {{for}\mspace{14mu} {normal}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \\ 2 & {{for}\mspace{14mu} {extended}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \end{matrix}.} \right.}$
 2. The method of claim 1, wherein the cyclic shift, n_(cs)(n_(s)), and the orthogonal cover, n_(oc)(n_(s)), are determined based on: ${n_{oc}\left( n_{s} \right)} = \left\{ {\begin{matrix} \left\lfloor \frac{{n^{\prime}\left( n_{s} \right)} \cdot \Delta_{shift}^{PUCCH}}{N^{\prime}} \right\rfloor & {{for}\mspace{14mu} {normal}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \\ {2 \cdot \left\lfloor \frac{{n^{\prime}\left( n_{s} \right)} \cdot \Delta_{shift}^{PUCCH}}{N^{\prime}} \right\rfloor} & {{for}\mspace{14mu} {extended}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \end{matrix},{{\alpha \left( n_{s} \right)} = {2{\pi \cdot \frac{n_{cs}\left( n_{s} \right)}{N_{sc}^{RB}}}}},{{n_{cs}\left( n_{s} \right)} = \left\{ {\begin{matrix} {\left\lbrack {\begin{matrix} {{{n_{cs}^{cell}\left( {n_{s},l} \right)} +}\;} \\ \begin{pmatrix} {{{n^{\prime}\left( n_{s} \right)} \cdot \Delta_{shift}^{PUCCH}} +} \\ \left( {{n_{oc}\left( n_{s} \right)}{mod}\; \Delta_{shift}^{PUCCH}} \right) \end{pmatrix} \end{matrix}{mod}\; N^{\prime}} \right\rbrack {mod}\; N_{sc}^{RB}} \\ {{for}\mspace{14mu} {normal}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \\ {\left\lbrack {\begin{matrix} {{n_{cs}^{cell}\left( {n_{s},l} \right)} +} \\ \begin{pmatrix} {{{n^{\prime}\left( n_{s} \right)} \cdot \Delta_{shift}^{PUCCH}} +} \\ {{n_{oc}\left( n_{s} \right)}/2} \end{pmatrix} \end{matrix}{mod}\; N^{\prime}} \right\rbrack {mod}\; N_{sc}^{RB}} \\ {{for}\mspace{14mu} {extended}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \end{matrix},} \right.}} \right.$ where $N^{\prime} = \left\{ {\begin{matrix} N_{cs}^{(1)} & {{{if}\mspace{14mu} n_{PUCCH}^{(1)}} < {c \cdot {N_{cs}^{(1)}/\Delta_{shift}^{PUCCH}}}} \\ N_{sc}^{RB} & {otherwise} \end{matrix}.} \right.$
 3. The method of claim 1, wherein d=2 for the normal cyclic prefix and d=0 for the extended cyclic prefix.
 4. The method of claim 1, wherein the uplink control information comprises at least one of an acknowledgement and a non-acknowledgement.
 5. The method of claim 1, wherein the physical uplink control channel information is transmitted in an OFDM (Orthogonal Frequency Division Multiplexing) resource block.
 6. A method for receiving uplink control information, the method comprising: determining a cyclic shift and an orthogonal cover for transmitting uplink control information based on a first parameter, n′ (n_(s)); and receiving the control information using the determined cyclic shift and orthogonal cover, wherein, when n_(s) mod 2=1 and n_(PUCCH) ⁽¹⁾<c·N_(cs) ⁽¹⁾/Δ_(shift) ^(PUCCH), the n′(n_(s)) is determined based on: n′(n _(s))=└h/c┘+(h mod c)·N′/Δ _(shift) ^(PUCCH), where: h=(n′(n _(s)−1)+d)mod(cN′/Δ _(shift) ^(PUCCH)),  where n_(s) is an index of a slot, n_(PUCCH) ⁽¹⁾ is a resource index for the physical uplink control channel, N_(cs) ⁽¹⁾ is a number of cyclic shifts used for the physical uplink control channel in the resource blocks, d is a predetermined parameter, Δ_(shift) ^(PUCCH) is a parameter signaled by a higher layer, N′ is an integer selected based upon n_(PUCCH) ⁽¹⁾, and $c = \left\{ {\begin{matrix} 3 & {{for}\mspace{14mu} {normal}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \\ 2 & {{for}\mspace{14mu} {extended}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \end{matrix}.} \right.$
 7. The method of claim 6, wherein the cyclic shift, n_(cs) (n_(s)), and the orthogonal cover, n_(oc)(n_(s)), are determined based on: ${n_{oc}\left( n_{s} \right)} = \left\{ {\begin{matrix} \left\lfloor \frac{{n^{\prime}\left( n_{s} \right)} \cdot \Delta_{shift}^{PUCCH}}{N^{\prime}} \right\rfloor & {{for}\mspace{14mu} {normal}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \\ {2 \cdot \left\lfloor \frac{{n^{\prime}\left( n_{s} \right)} \cdot \Delta_{shift}^{PUCCH}}{N^{\prime}} \right\rfloor} & {{for}\mspace{14mu} {extended}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \end{matrix},{{\alpha \left( n_{s} \right)} = {2{\pi \cdot \frac{n_{cs}\left( n_{s} \right)}{N_{sc}^{RB}}}}},{{n_{cs}\left( n_{s} \right)} = \left\{ {\begin{matrix} {\left\lbrack {\begin{matrix} {{{n_{cs}^{cell}\left( {n_{s},l} \right)} +}\;} \\ \begin{pmatrix} {{{n^{\prime}\left( n_{s} \right)} \cdot \Delta_{shift}^{PUCCH}} +} \\ \left( {{n_{oc}\left( n_{s} \right)}{mod}\; \Delta_{shift}^{PUCCH}} \right) \end{pmatrix} \end{matrix}{mod}\; N^{\prime}} \right\rbrack {mod}\; N_{sc}^{RB}} \\ {{for}\mspace{14mu} {normal}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \\ {\left\lbrack {\begin{matrix} {{n_{cs}^{cell}\left( {n_{s},l} \right)} +} \\ \begin{pmatrix} {{{n^{\prime}\left( n_{s} \right)} \cdot \Delta_{shift}^{PUCCH}} +} \\ {{n_{oc}\left( n_{s} \right)}/2} \end{pmatrix} \end{matrix}{mod}\; N^{\prime}} \right\rbrack {mod}\; N_{sc}^{RB}} \\ {{for}\mspace{14mu} {extended}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \end{matrix},} \right.}} \right.$ where $N^{\prime} = \left\{ {\begin{matrix} N_{cs}^{(1)} & {{{if}\mspace{14mu} n_{PUCCH}^{(1)}} < {c \cdot {N_{cs}^{(1)}/\Delta_{shift}^{PUCCH}}}} \\ N_{sc}^{RB} & {otherwise} \end{matrix}.} \right.$
 8. The method of claim 6, wherein d=2 for the normal cyclic prefix and d=0 for the extended cyclic prefix.
 9. The method of claim 6, wherein the uplink control information comprises at least one of an acknowledgement and a non-acknowledgement.
 10. The method of claim 6, wherein the physical uplink control channel information is transmitted in an OFDM (Orthogonal Frequency Division Multiplexing) resource block.
 11. A system for transmitting uplink control information, the system comprising: a transmit signal processing unit configured to determine a cyclic shift and an orthogonal cover for transmitting uplink control information based on a first parameter, n′(n_(s)); and a transmitter configured to transmit the control information using the determined cyclic shift and orthogonal cover, wherein, when n_(s) mod 2=1 and n_(PUCCH) ⁽¹⁾<c·N_(cs) ⁽¹⁾/Δ_(shift) ^(PUCCH), the n′(n_(s)) is determined based on: n′(n _(s))=└h/c┘+(h mod c)·N′/Δ _(shift) ^(PUCCH)), where: h=(n′(n _(s)−1)+d)mod(cN′/Δ _(shift) ^(PUCCH),  where n_(s) is an index of a slot, n_(PUCCH) ⁽¹⁾ is a resource index for the physical uplink control channel, N_(cs) ⁽¹⁾ is a number of cyclic shifts used for the physical uplink control channel in the resource blocks, d is a predetermined parameter, Δ_(shift) ^(PUCCH) is a parameter signaled by a higher layer, N′ is an integer selected based upon n_(PUCCH) ⁽¹⁾, and $c = \left\{ {\begin{matrix} 3 & {{for}\mspace{14mu} {normal}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \\ 2 & {{for}\mspace{14mu} {extended}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \end{matrix}.} \right.$
 12. The system of claim 11, wherein the cyclic shift, n_(cs)(n_(s)), and the orthogonal cover, n_(oc)(n_(s)), are determined based on: ${n_{oc}\left( n_{s} \right)} = \left\{ {\begin{matrix} \left\lfloor \frac{{n^{\prime}\left( n_{s} \right)} \cdot \Delta_{shift}^{PUCCH}}{N^{\prime}} \right\rfloor & {{for}\mspace{14mu} {normal}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \\ {2 \cdot \left\lfloor \frac{{n^{\prime}\left( n_{s} \right)} \cdot \Delta_{shift}^{PUCCH}}{N^{\prime}} \right\rfloor} & {{for}\mspace{14mu} {extended}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \end{matrix},{{\alpha \left( n_{s} \right)} = {2{\pi \cdot \frac{n_{cs}\left( n_{s} \right)}{N_{sc}^{RB}}}}},{{n_{cs}\left( n_{s} \right)} = \left\{ {\begin{matrix} {\left\lbrack {\begin{matrix} {{{n_{cs}^{cell}\left( {n_{s},l} \right)} +}\;} \\ \begin{pmatrix} {{{n^{\prime}\left( n_{s} \right)} \cdot \Delta_{shift}^{PUCCH}} +} \\ \left( {{n_{oc}\left( n_{s} \right)}{mod}\; \Delta_{shift}^{PUCCH}} \right) \end{pmatrix} \end{matrix}{mod}\; N^{\prime}} \right\rbrack {mod}\; N_{sc}^{RB}} \\ {{for}\mspace{14mu} {normal}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \\ {\left\lbrack {\begin{matrix} {{n_{cs}^{cell}\left( {n_{s},l} \right)} +} \\ \begin{pmatrix} {{{n^{\prime}\left( n_{s} \right)} \cdot \Delta_{shift}^{PUCCH}} +} \\ {{n_{oc}\left( n_{s} \right)}/2^{\prime}} \end{pmatrix} \end{matrix}{mod}\; N^{\prime}} \right\rbrack {mod}\; N_{sc}^{RB}} \\ {{for}\mspace{14mu} {extended}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \end{matrix},} \right.}} \right.$ where $N^{\prime} = \left\{ {\begin{matrix} N_{cs}^{(1)} & {{{if}\mspace{14mu} n_{PUCCH}^{(1)}} < {c \cdot {N_{cs}^{(1)}/\Delta_{shift}^{PUCCH}}}} \\ N_{sc}^{RB} & {otherwise} \end{matrix}.} \right.$
 13. The system of claim 11, wherein d=2 for the normal cyclic prefix and d=0 for the extended cyclic prefix.
 14. The system of claim 11, wherein the uplink control information comprises at least one of an acknowledgement and a non-acknowledgement.
 15. The system of claim 11, wherein the physical uplink control channel information is transmitted in an OFDM (Orthogonal Frequency Division Multiplexing) resource block.
 16. A system for receiving uplink control information, the system comprising: a receiver configured to receive uplink control information; and a received signal processing unit configured to determine a cyclic shift and an orthogonal cover for the received uplink control information based on a first parameter, n′(n_(s)), and to use the determined cyclic shift and orthogonal cover for the received uplink control information, wherein, when n mod 2=1 and n_(PUCCH) ⁽¹⁾<c·N_(cs) ⁽¹⁾/Δ_(shift) ^(PUCCH), the n′(n_(s)) is determined based on: n′(n _(s))=└h/c┘+(h mod c)·N′/Δ _(shift) ^(PUCCH)), where: h=(n′(n _(s)−1)+d)mod(cN′/Δ _(shift) ^(PUCCH),  where n_(s) is an index of a slot, n_(PUCCH) ⁽¹⁾ is a resource index for the physical uplink control channel, N_(cs) ⁽¹⁾ is a number of cyclic shifts used for the physical uplink control channel in the resource blocks, d is a predetermined parameter, Δ_(shift) ^(PUCCH) a parameter signaled by a higher layer, N′ is an integer selected based upon n_(PUCCH) ⁽¹⁾, and $c = \left\{ {\begin{matrix} 3 & {{for}\mspace{14mu} {normal}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \\ 2 & {{for}\mspace{14mu} {extended}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \end{matrix}.} \right.$
 17. The system of claim 16, wherein the cyclic shift, n_(cs)(n_(s)), and the orthogonal cover, n_(oc)(n_(s)), are determined based on: ${n_{oc}\left( n_{s} \right)} = \left\{ {\begin{matrix} \left\lfloor \frac{{n^{\prime}\left( n_{s} \right)} \cdot \Delta_{shift}^{PUCCH}}{N^{\prime}} \right\rfloor & {{for}\mspace{14mu} {normal}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \\ {2 \cdot \left\lfloor \frac{{n^{\prime}\left( n_{s} \right)} \cdot \Delta_{shift}^{PUCCH}}{N^{\prime}} \right\rfloor} & {{for}\mspace{14mu} {extended}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \end{matrix},{{\alpha \left( n_{s} \right)} = {2{\pi \cdot \frac{n_{cs}\left( n_{s} \right)}{N_{sc}^{RB}}}}},{{n_{cs}\left( n_{s} \right)} = \left\{ {\begin{matrix} {\left\lbrack {\begin{matrix} {{{n_{cs}^{cell}\left( {n_{s},l} \right)} +}\;} \\ \begin{pmatrix} {{{n^{\prime}\left( n_{s} \right)} \cdot \Delta_{shift}^{PUCCH}} +} \\ \left( {{n_{oc}\left( n_{s} \right)}{mod}\; \Delta_{shift}^{PUCCH}} \right) \end{pmatrix} \end{matrix}{mod}\; N^{\prime}} \right\rbrack {mod}\; N_{sc}^{RB}} \\ {{for}\mspace{14mu} {normal}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \\ {\left\lbrack {\begin{matrix} {{n_{cs}^{cell}\left( {n_{s},l} \right)} +} \\ \begin{pmatrix} {{{n^{\prime}\left( n_{s} \right)} \cdot \Delta_{shift}^{PUCCH}} +} \\ {{n_{oc}\left( n_{s} \right)}/2} \end{pmatrix} \end{matrix}{mod}\; N^{\prime}} \right\rbrack {mod}\; N_{sc}^{RB}} \\ {{for}\mspace{14mu} {extended}\mspace{14mu} {cyclic}\mspace{14mu} {prefix}} \end{matrix},} \right.}} \right.$ where $N^{\prime} = \left\{ {\begin{matrix} N_{cs}^{(1)} & {{{if}\mspace{14mu} n_{PUCCH}^{(1)}} < {c \cdot {N_{cs}^{(1)}/\Delta_{shift}^{PUCCH}}}} \\ N_{sc}^{RB} & {otherwise} \end{matrix}.} \right.$
 18. The system of claim 16, wherein d=2 for the normal cyclic prefix and d=0 for the extended cyclic prefix.
 19. The system of claim 16, wherein the uplink control information comprises at least one of an acknowledgement and a non-acknowledgement.
 20. The system of claim 16, wherein the physical uplink control channel information is transmitted in an OFDM (Orthogonal Frequency Division Multiplexing) resource block. 